Details

analyze316.0ms (8.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
50%	50%	0.1%	3
74.9%	25%	0.1%	4
81.2%	18.7%	0.1%	5
81.2%	15.6%	3.2%	6
81.2%	15.6%	3.2%	7
81.2%	14%	4.8%	8
81.2%	14%	4.8%	9
81.2%	13.3%	5.6%	10
81.2%	13.3%	5.6%	11
81.2%	12.9%	6%	12
81.2%	12.9%	6%	13
81.2%	12.7%	6.1%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample104.0ms (2.8%)

Algorithm

1×

intervals

Results

22.0ms	42×	body	1024	valid
17.0ms	183×	body	128	valid
11.0ms	25×	body	1024	invalid
5.0ms	23×	body	128	invalid
5.0ms	19×	body	512	valid
2.0ms	10×	body	512	invalid
2.0ms	11×	body	256	valid
1.0ms	1×	body	2048	valid
1.0ms	4×	body	256	invalid

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify11.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	7	8
2	7	8

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))

Compiler

Compiled 21 to 15 computations (28.6% saved)

localize12.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))

series14.0ms (0.4%)

Counts

1 → 8

Calls

1 calls:

14.0ms

(*.f64 (exp.f64 re) (sin.f64 im))

rewrite7.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`
3×	`*-un-lft-identity_binary64`
3×	`add-cube-cbrt_binary64`

Counts

1 → 20

Calls

1 calls:

6.0ms

(*.f64 (exp.f64 re) (sin.f64 im))

simplify101.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

963×	`fma-neg_binary64`
601×	`cancel-sign-sub-inv_binary64`
423×	`unswap-sqr_binary64`
355×	`distribute-rgt-neg-in_binary64`
283×	`*-commutative_binary64`

Counts

28 → 44

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	69	408
1	185	370
2	527	349
3	1418	335
4	2537	333
5	4402	333
6	4955	333

prune28.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	42	2	44
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	3	45

Error

0.0b

Counts

45 → 3

Alt Table

Status	Error	Program
▶	14.2b	(cbrt.f64 (.f64 (.f64 (.f64 (exp.f64 re) (exp.f64 re)) (exp.f64 re)) (.f64 (*.f64 (sin.f64 im) (sin.f64 im)) (sin.f64 im))))
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
	23.4b	(fma.f64 (sin.f64 im) re (sin.f64 im))

Compiler

Compiled 564 to 214 computations (62.1% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 (.f64 (exp.f64 re) (exp.f64 re)) (exp.f64 re)) (.f64 (*.f64 (sin.f64 im) (sin.f64 im)) (sin.f64 im)))
✓	0.2b	(.f64 (.f64 (sin.f64 im) (sin.f64 im)) (sin.f64 im))
✓	0.3b	(*.f64 (sin.f64 im) (sin.f64 im))
✓	14.2b	(cbrt.f64 (.f64 (.f64 (.f64 (exp.f64 re) (exp.f64 re)) (exp.f64 re)) (.f64 (*.f64 (sin.f64 im) (sin.f64 im)) (sin.f64 im))))

series68.0ms (1.8%)

Counts

4 → 72

Calls

4 calls:

44.0ms	(.f64 (.f64 (.f64 (exp.f64 re) (exp.f64 re)) (exp.f64 re)) (.f64 (*.f64 (sin.f64 im) (sin.f64 im)) (sin.f64 im)))
13.0ms	(cbrt.f64 (.f64 (.f64 (.f64 (exp.f64 re) (exp.f64 re)) (exp.f64 re)) (.f64 (*.f64 (sin.f64 im) (sin.f64 im)) (sin.f64 im))))
6.0ms	(.f64 (.f64 (sin.f64 im) (sin.f64 im)) (sin.f64 im))
4.0ms	(*.f64 (sin.f64 im) (sin.f64 im))

rewrite88.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

154×	`pow1_binary64`
57×	`pow-prod-down_binary64`
50×	`add-cbrt-cube_binary64`
47×	`pow-plus_binary64`
47×	`pow-prod-up_binary64`

Counts

4 → 139

Calls

4 calls:

29.0ms	(.f64 (.f64 (.f64 (exp.f64 re) (exp.f64 re)) (exp.f64 re)) (.f64 (*.f64 (sin.f64 im) (sin.f64 im)) (sin.f64 im)))
27.0ms	(cbrt.f64 (.f64 (.f64 (.f64 (exp.f64 re) (exp.f64 re)) (exp.f64 re)) (.f64 (*.f64 (sin.f64 im) (sin.f64 im)) (sin.f64 im))))
10.0ms	(.f64 (.f64 (sin.f64 im) (sin.f64 im)) (sin.f64 im))
4.0ms	(*.f64 (sin.f64 im) (sin.f64 im))

simplify118.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

810×	`fma-def_binary64`
453×	`fma-neg_binary64`
433×	`unswap-sqr_binary64`
291×	`associate-r_binary64`
261×	`associate-l_binary64`

Counts

211 → 189

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	2852
1	494	2387
2	1806	2268
3	4645	2268
4	5032	2268

prune116.0ms (3.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	188	1	189
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	188	4	192

Error

Counts

192 → 4

Alt Table

Status	Error	Program
▶	14.2b	(expm1.f64 (log1p.f64 (cbrt.f64 (.f64 (.f64 (.f64 (exp.f64 re) (exp.f64 re)) (exp.f64 re)) (.f64 (*.f64 (sin.f64 im) (sin.f64 im)) (sin.f64 im))))))
✓	14.2b	(cbrt.f64 (.f64 (.f64 (.f64 (exp.f64 re) (exp.f64 re)) (exp.f64 re)) (.f64 (*.f64 (sin.f64 im) (sin.f64 im)) (sin.f64 im))))
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
	23.4b	(fma.f64 (sin.f64 im) re (sin.f64 im))

Compiler

Compiled 4137 to 1338 computations (67.7% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(log1p.f64 (cbrt.f64 (.f64 (.f64 (.f64 (exp.f64 re) (exp.f64 re)) (exp.f64 re)) (.f64 (*.f64 (sin.f64 im) (sin.f64 im)) (sin.f64 im)))))
	0.2b	(.f64 (.f64 (sin.f64 im) (sin.f64 im)) (sin.f64 im))
	0.3b	(*.f64 (sin.f64 im) (sin.f64 im))
	14.2b	(cbrt.f64 (.f64 (.f64 (.f64 (exp.f64 re) (exp.f64 re)) (exp.f64 re)) (.f64 (*.f64 (sin.f64 im) (sin.f64 im)) (sin.f64 im))))

series543.0ms (14.4%)

Counts

1 → 24

Calls

1 calls:

543.0ms

(log1p.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 (exp.f64 re) (exp.f64 re)) (exp.f64 re)) (*.f64 (*.f64 (sin.f64 im) (sin.f64 im)) (sin.f64 im)))))

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

2×	`expm1-log1p-u_binary64`
1×	`*-un-lft-identity_binary64`
1×	`add-sqr-sqrt_binary64`
1×	`add-cube-cbrt_binary64`
1×	`add-cbrt-cube_binary64`

Counts

1 → 11

Calls

1 calls:

1.0ms

(log1p.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 (exp.f64 re) (exp.f64 re)) (exp.f64 re)) (*.f64 (*.f64 (sin.f64 im) (sin.f64 im)) (sin.f64 im)))))

simplify72.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

505×	`associate-r_binary64`
492×	`associate-l_binary64`
435×	`times-frac_binary64`
301×	`fma-def_binary64`
276×	`associate-/l*_binary64`

Counts

35 → 37

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	93	811
1	262	770
2	933	743
3	4783	701
4	5018	701

prune113.0ms (3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	165	4	169

Error

Counts

169 → 4

Alt Table

Status	Error	Program
✓	14.2b	(expm1.f64 (log1p.f64 (cbrt.f64 (.f64 (.f64 (.f64 (exp.f64 re) (exp.f64 re)) (exp.f64 re)) (.f64 (*.f64 (sin.f64 im) (sin.f64 im)) (sin.f64 im))))))
✓	14.2b	(cbrt.f64 (.f64 (.f64 (.f64 (exp.f64 re) (exp.f64 re)) (exp.f64 re)) (.f64 (*.f64 (sin.f64 im) (sin.f64 im)) (sin.f64 im))))
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
▶	23.4b	(fma.f64 (sin.f64 im) re (sin.f64 im))

Compiler

Compiled 4046 to 1536 computations (62% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (sin.f64 im) re (sin.f64 im))

series9.0ms (0.2%)

Counts

1 → 24

Calls

1 calls:

9.0ms

(fma.f64 (sin.f64 im) re (sin.f64 im))

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64`
1×	`add-sqr-sqrt_binary64`
1×	`add-cube-cbrt_binary64`
1×	`add-cbrt-cube_binary64`
1×	`add-exp-log_binary64`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma.f64 (sin.f64 im) re (sin.f64 im))

simplify67.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

682×	`fma-neg_binary64`
597×	`distribute-rgt-neg-in_binary64`
570×	`associate-l_binary64`
393×	`associate-r_binary64`
361×	`fma-def_binary64`

Counts

34 → 29

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	431
1	144	395
2	488	378
3	1897	370
4	4265	370
5	4975	370

prune16.0ms (0.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	29	0	29
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	29	4	33

Error

Counts

33 → 4

Alt Table

Status	Error	Program
✓	14.2b	(expm1.f64 (log1p.f64 (cbrt.f64 (.f64 (.f64 (.f64 (exp.f64 re) (exp.f64 re)) (exp.f64 re)) (.f64 (*.f64 (sin.f64 im) (sin.f64 im)) (sin.f64 im))))))
✓	14.2b	(cbrt.f64 (.f64 (.f64 (.f64 (exp.f64 re) (exp.f64 re)) (exp.f64 re)) (.f64 (*.f64 (sin.f64 im) (sin.f64 im)) (sin.f64 im))))
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
✓	23.4b	(fma.f64 (sin.f64 im) re (sin.f64 im))

Compiler

Compiled 433 to 223 computations (48.5% saved)

regimes158.0ms (4.2%)

Accuracy

Total 0.0b remaining (51.1%)

Threshold costs 0.0b (51.1%)

Counts

33 → 1

Compiler

Compiled 2432 to 1645 computations (32.4% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	7	8
2	7	8

end0.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

sample1.8s (47.1%)

Algorithm

1×

intervals

Results

541.0ms	1334×	body	1024	valid
348.0ms	5677×	body	128	valid
209.0ms	639×	body	1024	invalid
129.0ms	663×	body	512	valid
56.0ms	348×	body	512	invalid
49.0ms	798×	body	128	invalid
37.0ms	320×	body	256	valid
16.0ms	138×	body	256	invalid
8.0ms	6×	body	2048	valid

Compiler

Compiled 74 to 44 computations (40.5% saved)

Details

analyze316.0ms (8.4%)

sample104.0ms (2.8%)

simplify11.0ms (0.3%)

prune2.0ms (0.1%)

localize12.0ms (0.3%)

series14.0ms (0.4%)

rewrite7.0ms (0.2%)

simplify101.0ms (2.7%)

prune28.0ms (0.7%)

localize10.0ms (0.3%)

series68.0ms (1.8%)

rewrite88.0ms (2.3%)

simplify118.0ms (3.1%)

prune116.0ms (3.1%)

localize14.0ms (0.4%)

series543.0ms (14.4%)

rewrite1.0ms (0%)

simplify72.0ms (1.9%)

prune113.0ms (3%)

localize4.0ms (0.1%)

series9.0ms (0.2%)

rewrite1.0ms (0%)

simplify67.0ms (1.8%)

prune16.0ms (0.4%)

regimes158.0ms (4.2%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.8s (47.1%)

Profiling